Finding the Third Proportional to 13,840 and 30,824

Step by Step Solution

1. Step 1: Write the proportion equation
   13,840 : 30,824 = 30,824 : x
2. Step 2: Convert to fraction form
   13,840/30,824 = 30,824/x
3. Step 3: Cross multiply
   13,840x = 30,824 × 30,824
4. Step 4: Simplify right side
   13,840x = 950,118,976
5. Step 5: Solve for x
   x = 950,118,976/13,840
6. Step 6: Final answer
   x = 68,650.22